Question

passes through(6,1), parallel to the line with x-intercept -3 and y-intercept 5

Answer 1

two points on the parallel line :  (-3, 0) and (0, 5)

slope = (5-0)/(0-(-3)) = 5/3

y = mx + c
y = 5/3 x + c

at point (6, 1)
1 = 5/3 (6) + c
c = 1 - 10
c = -9
y = 5/3 x - 9